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Finding the Fourth Proportional to 4,646.32, 6,408.20 and 4,085.64

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Solution

The fourth proportional to 4,646.32, 6,408.20 and 4,085.64 is: 5,634.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.32 : 6,408.20 = 4,085.64 : x
  2. Step 2: Convert to fraction form
    4,646.32/6,408.20 = 4,085.64/x
  3. Step 3: Cross multiply
    4,646.32x = 6,408.20 × 4,085.64
  4. Step 4: Simplify right side
    4,646.32x = 26,181,598.25
  5. Step 5: Solve for x
    x = 26,181,598.25/4,646.32
  6. Step 6: Final answer
    x = 5,634.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.